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Finding the Fourth Proportional to 201,701.76, 302,456.16 and 117,485.93

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Solution

The fourth proportional to 201,701.76, 302,456.16 and 117,485.93 is: 176,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.76 : 302,456.16 = 117,485.93 : x
  2. Step 2: Convert to fraction form
    201,701.76/302,456.16 = 117,485.93/x
  3. Step 3: Cross multiply
    201,701.76x = 302,456.16 × 117,485.93
  4. Step 4: Simplify right side
    201,701.76x = 35,534,343,997.97
  5. Step 5: Solve for x
    x = 35,534,343,997.97/201,701.76
  6. Step 6: Final answer
    x = 176,172.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.